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Positive Classical Solutions of Dirichlet Problem for the Steady Relativistic Heat Equation
In this paper, for a bounded C 2 domain, we prove the existence and uniqueness of positive classical solutions to the Dirichlet problem for the steady...
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Flow and heat transfer of a nanofluid through a porous medium due to stretching/shrinking sheet with suction, magnetic field and thermal radiation
This study investigates the suction and magnetic field effects on the two-dimensional nanofluid flow through a stretching/shrinking sheet at the...
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The Time Decay Rates of the Classical Solution to the Poisson-Nernst-Planck-Fourier Equations in ℝ3
In this work, the Poisson-Nernst-Planck-Fourier system in three dimensions is considered. For when the initial data regards a small perturbation...
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Heat transfer and Helmholtz-Smoluchowski velocity in Bingham fluid flow
A mathematical study is developed for the electro-osmotic flow of a non-Newtonian fluid in a wavy microchannel in which a Bingham viscoplastic fluid...
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Optimally convergent mixed finite element methods for the time-dependent 2D/3D stochastic closed-loop geothermal system with multiplicative noise
In this paper, a new time-dependent 2D/3D stochastic closed-loop geothermal system with multiplicative noise is developed and studied. This model...
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Determination of temperature distribution and thermal flux for two-dimensional inhomogeneous sideways heat equations
We investigate an inverse and ill-posed problem for the two-dimensional inhomogeneous heat equation in the presence of a general source term. The...
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Decay of the 2D Periodic Stationary Viscous Surface Waves
We consider the evolution of viscous fluids in a 2D horizontally periodic slab bounded above by a free top surface and below by a fixed flat bottom....
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A PDE Model for Electrothermal Feedback in Organic Semiconductor Devices
Large-area organic light-emitting diodes are thin-film multilayer devices that show pronounced self-heating and brightness inhomogeneities at high...
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Existence of Weak Solutions of an Unsteady Thermistor System with p-Laplacian Type Equation
In this paper, we consider an unsteady thermistor system, where the usual Ohm law is replaced by a non-linear monotone constitutive relation between...
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Sufficient conditions for the existence of solutions for a thermoelectrochemical problem
A mathematical model is introduced for thermoelectrochemical phenomena in an electrolysis cell, and its qualitative analysis is focused on existence...
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Fractional Approach for Estimating Sap Velocity in Trees
In the context of fractional calculus (FC), this paper is devoted to model thermal processes in trees based on the measurement of the temperature...
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Global existence and uniform decay for the one-dimensional model of thermodiffusion with second sound
In this paper, we investigate an initial boundary value problem for the one-dimensional linear model of thermodiffusion with second sound in a...
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Well-posedness viaMonotonicity – an Overview
The idea of monotonicity is shown to be the central theme of the solution theories associated with problems of mathematical physics. A “grand...
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A mathematical model for the thermal behaviour of a ventilated floor slab
The passive cooling system of a large, multi-storied, commercial complex is considered, where the building mass is used for storing night time...
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A limit model for thermoelectric equations
We analyze the asymptotic behavior corresponding to the arbitrary high conductivity of the heat in the thermoelectric devices. This work deals with a...